Skip to main content
SpringerLink
Log in

Normal Forms for Control Systems at Singular Points

  • Published:
Journal of Dynamics and Differential Equations Aims and scope Submit manuscript

Abstract

A normal form for open loop control systems is provided, based on their interpretation as skew product flows and on normal forms for nonautonomous differential equations.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Abraham, R., Marsden, J. E., and Ratiu, T. (1983). Manifolds, Tensor Analysis, and Applications, Applied Mathematical Sciences, Vol. 75, Springer-Verlag, New York.

    Google Scholar 

  2. Arnold, L. (1998). Random Dynamical Systems, Springer-Verlag, New York.

    Google Scholar 

  3. Colonius, F., and Kliemann, W. (2000). The Dynamics of Control, Birkhäuser.

  4. Grünvogel, S. (2000). Lyapunov Spectrum and Control Sets, Dissertation, Universität Augsburg, Augsburger Mathematisch-Naturwissenschaftliche Schriften, No. 34, Wißner Verlag, Augsburg.

    Google Scholar 

  5. Sacker, R. J., and Sell, G. R. (1978). A spectral theory for linear differential systems. J. Differential Equations, 27, 320–358.

    Google Scholar 

  6. Siegmund, S. Normal forms for nonautonomous differential equations. To appear in J. Differential Equations.

Download references

Author information

Authors and Affiliations

  1. Institut für Mathematik, Universität Augsburg, 86135, Augsburg, Germany

    Fritz Colonius & Stefan Siegmund

Authors
  1. Fritz Colonius
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Stefan Siegmund
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Fritz Colonius.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Colonius, F., Siegmund, S. Normal Forms for Control Systems at Singular Points. Journal of Dynamics and Differential Equations 15, 49–59 (2003). https://doi.org/10.1023/A:1026101327475

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1026101327475

Search

Navigation